Sobolev Spaces And Variational Method Applied To Elliptic Partial Differential Equations

INTRODUCTION

Variational methods have proved to be very important in the study of optimal shape, time, velocity, volume or energy. Laws existing in mechanics, physics, astronomy, economics and other fields of natural sciences and engineering obey variational principles. The main objective of variational method is to obtain the solutions governed by these principles. Fermat postulated that light follows a part of least possible time, this is a subject in finding minimizers of a given functional. It is important to note that we are in this work concerned about solution of some Boudary Value Problem of some Partial Differential Equations.

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APA

Dennis, E (2021). Sobolev Spaces And Variational Method Applied To Elliptic Partial Differential Equations. Afribary. Retrieved from https://track.afribary.com/works/sobolev-spaces-and-variational-method-applied-to-elliptic-partial-differential-equations

MLA 8th

Dennis, Enyi "Sobolev Spaces And Variational Method Applied To Elliptic Partial Differential Equations" Afribary. Afribary, 15 Apr. 2021, https://track.afribary.com/works/sobolev-spaces-and-variational-method-applied-to-elliptic-partial-differential-equations. Accessed 23 Nov. 2024.

MLA7

Dennis, Enyi . "Sobolev Spaces And Variational Method Applied To Elliptic Partial Differential Equations". Afribary, Afribary, 15 Apr. 2021. Web. 23 Nov. 2024. < https://track.afribary.com/works/sobolev-spaces-and-variational-method-applied-to-elliptic-partial-differential-equations >.

Chicago

Dennis, Enyi . "Sobolev Spaces And Variational Method Applied To Elliptic Partial Differential Equations" Afribary (2021). Accessed November 23, 2024. https://track.afribary.com/works/sobolev-spaces-and-variational-method-applied-to-elliptic-partial-differential-equations